# PřF:FA015 Stat. Phys. of Part. & Fields - Course Information

## FA015 Statistical Physics of Particles and Fields

**Faculty of Science**

Spring 2025

**Extent and Intensity**- 2/1/0. 4 credit(s). Type of Completion: z (credit).
**Teacher(s)**- prof. Rikard von Unge, Ph.D. (lecturer)
**Guaranteed by**- prof. Rikard von Unge, Ph.D.

Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science

Contact Person: prof. Rikard von Unge, Ph.D.

Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science **Course Enrolment Limitations**- The course is offered to students of any study field.
**Course objectives**- Much of modern physics uses the tools of field theory. In this course, students are presented with a series of simple models that show phenomena common to particle and condensed matter physics. A number of useful tools and techniques will be introduced throughout the course. The models presented provide intuitive insights that are very useful for understanding complex real physical systems.
**Learning outcomes**- The student will gain knowledge of the modern functional approach to equilibrium and non-equilibrium field-theoretical models. The interpretation of the renormalization procedure used in Quantum Field Theory, gained from Statistical Physics is emphasized.
**Syllabus**- 1. Collective behavior, Phase transitions, Critical behavior 2. Landau-Ginzburg theory, mean field theory, saddle point approximation, continuous symmetry breaking, Goldstone modes 3. Fluctuations, correlation functions, susceptibilities, critical dimension, Gaussian integrals 4. The scaling hypothesis, divergence of the correlation length, the renormalization group 5. The perturbative renormalization group 6. Lattice systems 7. Series expansions, spin waves, the role of topology 8. Quantum phase transitions 9. Nonequilibrium statistical mechanics

**Literature**- SACHDEV, Subir.
*Quantum phase transitions*. 2nd ed. Cambridge: Cambridge University Press, 2011, xviii, 501. ISBN 9780521514682. info

*recommended literature*- SACHDEV, Subir.
**Teaching methods**- Lectures, exercises
**Assessment methods**- Homework assignments with an oral exam.
**Language of instruction**- English
**Further comments (probably available only in Czech)**- The course is taught once in two years.

The course is taught: every week.

General note: S.

- Enrolment Statistics (Spring 2025, recent)
- Permalink: https://is.muni.cz/course/sci/spring2025/FA015